A monotonicity method for solving hyperbolic problems with hysteresis
A mountain pass method for the numerical solution of semilinear wave equations.
A multi-D model for Raman amplification
In this paper, we continue the study of the Raman amplification in plasmas that we initiated in [Colin and Colin, Diff. Int. Eqs. 17 (2004) 297–330; Colin and Colin, J. Comput. Appl. Math. 193 (2006) 535–562]. We point out that the Raman instability gives rise to three components. The first one is collinear to the incident laser pulse and counter propagates. In 2-D, the two other ones make a non-zero angle with the initial pulse and propagate forward. Furthermore they are symmetric with respect...
A multi-D model for Raman amplification
In this paper, we continue the study of the Raman amplification in plasmas that we initiated in [Colin and Colin, Diff. Int. Eqs.17 (2004) 297–330; Colin and Colin, J. Comput. Appl. Math.193 (2006) 535–562]. We point out that the Raman instability gives rise to three components. The first one is collinear to the incident laser pulse and counter propagates. In 2-D, the two other ones make a non-zero angle with the initial pulse and propagate forward. Furthermore they are symmetric with respect to...
A Multi-Grid Algorithm for Mixed Problems with Penalty.
A Multigrid Method for a Parameter Dependent Problem in Solid Mechanics.
A multigrid method for Reissner-Mindlin plates.
A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction
A new Schwarz method for nonlinear systems is presented, constituting the multiplicative variant of a straightforward additive scheme. Local convergence can be guaranteed under suitable assumptions. The scheme is applied to nonlinear acoustic-structure interaction problems. Numerical examples validate the theoretical results. Further improvements are discussed by means of introducing overlapping subdomains and employing an inexact strategy for the local solvers.
A new approach for estimating the friction in thin film lubrication.
A new approach for simultaneous shape and topology optimization based on dynamic implicit surface function
A new approach of Timoshenko's beam theory by asymptotic expansion method
A new approach to fracture mechanics.
A New Class of Variational Problems Arising in the Modeling of Elastic Multi-Structures.
A New Family of Stabel Elements for Nearly Incompressible Elasticity Based on a Mixed Petrov-Galerkin Finite Element Formulation.
A new finite element approach for problems containing small geometric details
In this paper a new finite element approach is presented which allows the discretization of PDEs on domains containing small micro-structures with extremely few degrees of freedom. The applications of these so-called Composite Finite Elements are two-fold. They allow the efficient use of multi-grid methods to problems on complicated domains where, otherwise, it is not possible to obtain very coarse discretizations with standard finite elements. Furthermore, they provide a tool for discrete homogenization...
A new formulation for arch structures. Application to optimization problems
A new method for numerical solution of checkerboard fields.
A new method of exact controllability in short time and applications
A new method of solving the basic plane boundary value problems of statics of the elastic mixture theory.
A new mixed finite element method for the Timoshenko beam problem